Pub Date : 1962-04-01DOI: 10.1109/TEC.1962.5219368
R. Hockney
{"title":"An Intersection Algorithm Giving All Irredundant Normal Forms from a Prime Implicant List","authors":"R. Hockney","doi":"10.1109/TEC.1962.5219368","DOIUrl":"https://doi.org/10.1109/TEC.1962.5219368","url":null,"abstract":"","PeriodicalId":177496,"journal":{"name":"IRE Trans. Electron. Comput.","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1962-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116577134","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1962-02-01DOI: 10.1109/TEC.1962.5219317
Richard M. Terasaki
A method is described for the analog computation of the solution of linear two-point boundary value problems, i.e., the problem of a linear ordinary differential equation with linear two-point boundary conditions. The nonhomogeneous problem, in particular, is considered; the differential equal for y on the real interval 0?x?1 is taken to be nonhomogeneous. The method for its solution is based upon the integral formula for the solution, namely, y(x) = ?01G(x, t)f(t)dt, where G(x,t) is the Green's function satisfying two-point boundary conditions while f is a known integrable function. The paper describes a method for finding a specific set of initial value problems whose solutions, taken in linear combination, form the Green's function whose second argument (t) is fixed. This technique reduces the two-point boundary value problem to a set of initial value types and makes the continuous computation of the Green's function as a function of x for fixed t amenable to analog means. The application of the described technique to the adjoint boundary value problem yields a means for continuous computation of G as a function of the second argument (t) for fixed values of the first argument (x). This is the required form for the analog evaluation of the integral formula. The theoretical aspects of the method found are stated, after which an example of a simple non-self-adjoint problem from the study of structures is solved on an electronic analog computer.
{"title":"Analog Computation of Green's Function for Integrating Two-Point Boundary Value Problems","authors":"Richard M. Terasaki","doi":"10.1109/TEC.1962.5219317","DOIUrl":"https://doi.org/10.1109/TEC.1962.5219317","url":null,"abstract":"A method is described for the analog computation of the solution of linear two-point boundary value problems, i.e., the problem of a linear ordinary differential equation with linear two-point boundary conditions. The nonhomogeneous problem, in particular, is considered; the differential equal for y on the real interval 0?x?1 is taken to be nonhomogeneous. The method for its solution is based upon the integral formula for the solution, namely, y(x) = ?01G(x, t)f(t)dt, where G(x,t) is the Green's function satisfying two-point boundary conditions while f is a known integrable function. The paper describes a method for finding a specific set of initial value problems whose solutions, taken in linear combination, form the Green's function whose second argument (t) is fixed. This technique reduces the two-point boundary value problem to a set of initial value types and makes the continuous computation of the Green's function as a function of x for fixed t amenable to analog means. The application of the described technique to the adjoint boundary value problem yields a means for continuous computation of G as a function of the second argument (t) for fixed values of the first argument (x). This is the required form for the analog evaluation of the integral formula. The theoretical aspects of the method found are stated, after which an example of a simple non-self-adjoint problem from the study of structures is solved on an electronic analog computer.","PeriodicalId":177496,"journal":{"name":"IRE Trans. Electron. Comput.","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1962-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116053914","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1962-02-01DOI: 10.1109/TEC.1962.5219308
J. McLeod
The past and present of computer simulation are examined, and on that basis some predictions for the future are made. Deploring the analog vs digital concept fostered by some, the author stresses the complementary aspects of the two methods. Then, drawing heavily on the experience of others as well as his own, the more important improvements in simulation techniques and equipment of the past ten years are discussed. The two approaches to analog-digital simulation?the hybrid-computer in which both techniques are combined in one machine, and the combined-simulation in which relatively pure analog and digital computers are connected to operate together?are both viewed as attempts to capitalize on the unique advantages inherent in each method, and as presenting common problems. The requirement for better education, not only of the potential user?the scientist, the engineer, and the researcher in other fields such as biology and medicine?but of the undergraduate and the public, is found to be the greatest need. Improved equipment having greater reliability?for somewhat less money?is also needed. But it is predicted that that will come. It is the need for education which demands the attention of all who are interested in the furture of computer simulation.
{"title":"Ten Years of Computer Simulation","authors":"J. McLeod","doi":"10.1109/TEC.1962.5219308","DOIUrl":"https://doi.org/10.1109/TEC.1962.5219308","url":null,"abstract":"The past and present of computer simulation are examined, and on that basis some predictions for the future are made. Deploring the analog vs digital concept fostered by some, the author stresses the complementary aspects of the two methods. Then, drawing heavily on the experience of others as well as his own, the more important improvements in simulation techniques and equipment of the past ten years are discussed. The two approaches to analog-digital simulation?the hybrid-computer in which both techniques are combined in one machine, and the combined-simulation in which relatively pure analog and digital computers are connected to operate together?are both viewed as attempts to capitalize on the unique advantages inherent in each method, and as presenting common problems. The requirement for better education, not only of the potential user?the scientist, the engineer, and the researcher in other fields such as biology and medicine?but of the undergraduate and the public, is found to be the greatest need. Improved equipment having greater reliability?for somewhat less money?is also needed. But it is predicted that that will come. It is the need for education which demands the attention of all who are interested in the furture of computer simulation.","PeriodicalId":177496,"journal":{"name":"IRE Trans. Electron. Comput.","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1962-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134354855","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1962-02-01DOI: 10.1109/TEC.1962.5219312
P. Wendland, P. Hanlet
An electro-optical device is described which provides a continuously-variable dc electrical signal in response to a shaft rotation. The elimination of a mechanical contact provides low torque, long life, and high-speed operation. Shaping of the thin film resistance track associated with this device produces an interesting function generator. Data is presented for successful operation of the laboratory model. An analysis is provided of the requisite track shaping to produce arbitrary functions. The electrical equivalent circuit of the device is analyzed, and the conditions necessary for successful operation described.
{"title":"An Infinite-Resolution Function Generator","authors":"P. Wendland, P. Hanlet","doi":"10.1109/TEC.1962.5219312","DOIUrl":"https://doi.org/10.1109/TEC.1962.5219312","url":null,"abstract":"An electro-optical device is described which provides a continuously-variable dc electrical signal in response to a shaft rotation. The elimination of a mechanical contact provides low torque, long life, and high-speed operation. Shaping of the thin film resistance track associated with this device produces an interesting function generator. Data is presented for successful operation of the laboratory model. An analysis is provided of the requisite track shaping to produce arbitrary functions. The electrical equivalent circuit of the device is analyzed, and the conditions necessary for successful operation described.","PeriodicalId":177496,"journal":{"name":"IRE Trans. Electron. Comput.","volume":"60 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1962-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115040310","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1962-02-01DOI: 10.1109/TEC.1962.5219314
A. Hausner
By using the analog-computer independent variable time, as a parameter, a differential equation can be transformed into a set of first-order equations containing no divisions. This makes it possible, by means of other mathematical transformations to prevent unbounded functions from occurring during a computation and sometimes to continue solutions through singularities. The discussion includes a detailed application of the method to a second-order differential equation containing both zero and infinite slopes in the solution. The graph of the solution is obtained without reprogramming and with less equipment than that required by usual techniques.
{"title":"Parametric Techniques for Eliminating Division and Treating Singularities in Computer Solutions of Ordinary Differential Equations","authors":"A. Hausner","doi":"10.1109/TEC.1962.5219314","DOIUrl":"https://doi.org/10.1109/TEC.1962.5219314","url":null,"abstract":"By using the analog-computer independent variable time, as a parameter, a differential equation can be transformed into a set of first-order equations containing no divisions. This makes it possible, by means of other mathematical transformations to prevent unbounded functions from occurring during a computation and sometimes to continue solutions through singularities. The discussion includes a detailed application of the method to a second-order differential equation containing both zero and infinite slopes in the solution. The graph of the solution is obtained without reprogramming and with less equipment than that required by usual techniques.","PeriodicalId":177496,"journal":{"name":"IRE Trans. Electron. Comput.","volume":"237 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1962-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126137917","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1962-02-01DOI: 10.1109/TEC.1962.5219318
N. Parezanovic, M. Dujmovic
This paper describes a procedure for correct calculation of the resistance of the potentiometer function generator, including the load resistance of the generator. The possibility of generating the function by taking inequidistant values of the independent variable is also described as is the possibility of generating some special functions.
{"title":"Accuracy Improvements of the Tapped-Potentiometer Function Generators","authors":"N. Parezanovic, M. Dujmovic","doi":"10.1109/TEC.1962.5219318","DOIUrl":"https://doi.org/10.1109/TEC.1962.5219318","url":null,"abstract":"This paper describes a procedure for correct calculation of the resistance of the potentiometer function generator, including the load resistance of the generator. The possibility of generating the function by taking inequidistant values of the independent variable is also described as is the possibility of generating some special functions.","PeriodicalId":177496,"journal":{"name":"IRE Trans. Electron. Comput.","volume":"54 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1962-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121564106","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1962-02-01DOI: 10.1109/TEC.1962.5219320
E. Henry
{"title":"Analog-Computer Simulation of a Frequency Detector","authors":"E. Henry","doi":"10.1109/TEC.1962.5219320","DOIUrl":"https://doi.org/10.1109/TEC.1962.5219320","url":null,"abstract":"","PeriodicalId":177496,"journal":{"name":"IRE Trans. Electron. Comput.","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1962-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131909647","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1962-02-01DOI: 10.1109/TEC.1962.5219316
P. Hermann
An analog-computer flow chart is developed for use in setting up a simulation of the steam-generation process in a heat exchanger. It is assumed in the paper that the rate of heat flow from the primary side of the heat exchanger to the secondary side is already known. The technique described considers only the process in the secondary side of the heat exchanger. Factors such as variations in pressure, boiling-point temperature, induction water heat rate, heat of vaporization, specific volume of steam, and rate of secondary steam extraction are considered. Some simplifications are made e.g., that the secondary steam is always at saturation conditions and that water level control in the boiler is good. Use is made of steam table data in function generators so that a fairly large range of operating conditions can be simulated.
{"title":"Simulation of Steam Generation in a Heat Exchanger","authors":"P. Hermann","doi":"10.1109/TEC.1962.5219316","DOIUrl":"https://doi.org/10.1109/TEC.1962.5219316","url":null,"abstract":"An analog-computer flow chart is developed for use in setting up a simulation of the steam-generation process in a heat exchanger. It is assumed in the paper that the rate of heat flow from the primary side of the heat exchanger to the secondary side is already known. The technique described considers only the process in the secondary side of the heat exchanger. Factors such as variations in pressure, boiling-point temperature, induction water heat rate, heat of vaporization, specific volume of steam, and rate of secondary steam extraction are considered. Some simplifications are made e.g., that the secondary steam is always at saturation conditions and that water level control in the boiler is good. Use is made of steam table data in function generators so that a fairly large range of operating conditions can be simulated.","PeriodicalId":177496,"journal":{"name":"IRE Trans. Electron. Comput.","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1962-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121887155","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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